Moir\'e systems have emerged as an exciting tunable platform for engineering and probing quantum matter. A large number of exotic states have been observed, stimulating intense efforts in experiment, theory, and simulation. Utilizing a neural-network-based quantum Monte Carlo approach, we discover a new ground state of the two-dimensional electron gas in a honeycomb moire potential at a filling factor of νm=1/4 (one electron every four moir\'e minima). In this state, two opposite-spin electrons pair to form a singlet-like valence bond state which restores local C6 symmetry in hexagonal molecules each spanning 6 moir\'e minima. These molecules of pairs then form a molecular Wigner crystal, leaving one quarter of the moir\'e minima mostly depleted. The formation of such a paired Wigner crystal, absent any confining potential or attractive interaction to facilitate "pre-assembling" the molecule, provides a fascinating case of collective phenomena in strongly interacting quantum many-body systems, and opportunities to engineer exotic properties.
@article{arxiv.2602.16798,
title = {Neural Network Discovery of Paired Wigner Crystals in Artificial Graphene},
author = {Conor Smith and Yubo Yang and Zhou-Quan Wan and Yixiao Chen and Miguel A. Morales and Shiwei Zhang},
journal= {arXiv preprint arXiv:2602.16798},
year = {2026}
}